A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity

P. Mayeli, G. J. Sheard

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Abstract

Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 105. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 104 but at Ra = 105 computed thermo-fluid parameters via the two approaches are not identical.

Original languageEnglish
Title of host publicationProceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018
EditorsTimothy C.W. Lau, Richard M. Kelso
PublisherAustralasian Fluid Mechanics Society
ISBN (Electronic)9780646597843
Publication statusPublished - 2018
EventAustralasian Fluid Mechanics Conference 2018 - Adelaide Convention Centre, Adelaide, Australia
Duration: 10 Dec 201813 Dec 2018
Conference number: 21st
https://aomevents.eventsair.com/QuickEventWebsitePortal/21st-australasian-fluid-mechanics-conference/afmc2018

Publication series

NameProceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018

Conference

ConferenceAustralasian Fluid Mechanics Conference 2018
Abbreviated titleAFMC 2018
CountryAustralia
CityAdelaide
Period10/12/1813/12/18
Internet address

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